{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "complimentary-practitioner",
   "metadata": {},
   "source": [
    "# Compute moving averages"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "renewable-engineer",
   "metadata": {},
   "source": [
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In this notebook we demonstrate how to compute moving averages for odd and even orders using Pandas.\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Create-Datasets\" from this repo.\n",
    "\n",
    "## Data set synopsis\n",
    "The timeseries is collected between January 1992 and May 2016.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "asian-sword",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "funded-dominican",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "amended-arrest",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"../Datasets/example_retail_sales.csv\", index_col=[\"ds\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "underlying-warner",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 y\n",
       "ds                \n",
       "1992-01-01  146376\n",
       "1992-02-01  147079\n",
       "1992-03-01  159336\n",
       "1992-04-01  163669\n",
       "1992-05-01  170068"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "assumed-russia",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "df.plot(ax=ax, marker=\".\")\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_title(\"Retail Sales\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "loved-telling",
   "metadata": {},
   "source": [
    "The data has a monthly frequency and we observe yearly seasonality (i.e., a pattern which repeats every 12 periods)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "demanding-blind",
   "metadata": {},
   "source": [
    "# Compute moving averages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "facial-wiring",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>3-MA</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>150930.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>156694.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>164357.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>167466.666667</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     3-MA\n",
       "ds                       \n",
       "1992-01-01            NaN\n",
       "1992-02-01  150930.333333\n",
       "1992-03-01  156694.666667\n",
       "1992-04-01  164357.666667\n",
       "1992-05-01  167466.666667"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "window_size = 3  # AKA the order of the moving average\n",
    "ma_3 = df.rolling(\n",
    "    window=window_size,  # Size of the window\n",
    "    center=True  # Compute average at center of window\n",
    "    # This flag only works correctly for odd window sizes\n",
    ").mean()\n",
    "\n",
    "ma_3.rename(columns={\"y\": \"3-MA\"}, inplace=True)  # Rename the column\n",
    "\n",
    "ma_3.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "infinite-belief",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the result\n",
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "\n",
    "df.plot(ax=ax, marker=\".\")\n",
    "ma_3.plot(ax=ax, color=\"r\", alpha=0.75)\n",
    "\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_title(\"Retail Sales with moving average\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "elder-bearing",
   "metadata": {},
   "source": [
    "We can see that a moving average of order 3 smooths the data, however, is still impacted by the seasonality in the data."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "worthy-priority",
   "metadata": {},
   "source": [
    "Because we expect seasonality with a period of 12 we should try 2 x 12-MA."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "unusual-castle",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>ma_4</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336</td>\n",
       "      <td>154115.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669</td>\n",
       "      <td>160038.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068</td>\n",
       "      <td>165434.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-01</th>\n",
       "      <td>400928</td>\n",
       "      <td>444310.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-02-01</th>\n",
       "      <td>413554</td>\n",
       "      <td>448207.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-03-01</th>\n",
       "      <td>460093</td>\n",
       "      <td>431377.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-04-01</th>\n",
       "      <td>450935</td>\n",
       "      <td>449000.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-05-01</th>\n",
       "      <td>471421</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>293 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 y       ma_4\n",
       "ds                           \n",
       "1992-01-01  146376        NaN\n",
       "1992-02-01  147079        NaN\n",
       "1992-03-01  159336  154115.00\n",
       "1992-04-01  163669  160038.00\n",
       "1992-05-01  170068  165434.00\n",
       "...            ...        ...\n",
       "2016-01-01  400928  444310.50\n",
       "2016-02-01  413554  448207.00\n",
       "2016-03-01  460093  431377.50\n",
       "2016-04-01  450935  449000.75\n",
       "2016-05-01  471421        NaN\n",
       "\n",
       "[293 rows x 2 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# This does not give the correct answer in Pandas\n",
    "df.assign(ma_4=df.rolling(window=4, center=True).mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "attractive-fruit",
   "metadata": {},
   "source": [
    "The first correct value should be:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "competent-vision",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "157076.5"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    (1 / 8) * 146376\n",
    "    + (1 / 4) * 147079\n",
    "    + (1 / 4) * 159336\n",
    "    + (1 / 4) * 163669\n",
    "    + (1 / 8) * 170068\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "reserved-zimbabwe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "    }\n",
       "\n",
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       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>ma_4</th>\n",
       "      <th>2xma_4</th>\n",
       "      <th>result</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>157076.500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669</td>\n",
       "      <td>154115.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>162736.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068</td>\n",
       "      <td>160038.00</td>\n",
       "      <td>157076.500</td>\n",
       "      <td>166753.250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-01</th>\n",
       "      <td>400928</td>\n",
       "      <td>452161.75</td>\n",
       "      <td>455910.375</td>\n",
       "      <td>446258.750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-02-01</th>\n",
       "      <td>413554</td>\n",
       "      <td>444310.50</td>\n",
       "      <td>448236.125</td>\n",
       "      <td>439792.250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-03-01</th>\n",
       "      <td>460093</td>\n",
       "      <td>448207.00</td>\n",
       "      <td>446258.750</td>\n",
       "      <td>440189.125</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-04-01</th>\n",
       "      <td>450935</td>\n",
       "      <td>431377.50</td>\n",
       "      <td>439792.250</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-05-01</th>\n",
       "      <td>471421</td>\n",
       "      <td>449000.75</td>\n",
       "      <td>440189.125</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>293 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 y       ma_4      2xma_4      result\n",
       "ds                                                   \n",
       "1992-01-01  146376        NaN         NaN         NaN\n",
       "1992-02-01  147079        NaN         NaN         NaN\n",
       "1992-03-01  159336        NaN         NaN  157076.500\n",
       "1992-04-01  163669  154115.00         NaN  162736.000\n",
       "1992-05-01  170068  160038.00  157076.500  166753.250\n",
       "...            ...        ...         ...         ...\n",
       "2016-01-01  400928  452161.75  455910.375  446258.750\n",
       "2016-02-01  413554  444310.50  448236.125  439792.250\n",
       "2016-03-01  460093  448207.00  446258.750  440189.125\n",
       "2016-04-01  450935  431377.50  439792.250         NaN\n",
       "2016-05-01  471421  449000.75  440189.125         NaN\n",
       "\n",
       "[293 rows x 4 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# This gives the correct answer when computing the centered moving averages of moving averages\n",
    "df_ = df.copy()\n",
    "df_[\"ma_4\"] = df_.rolling(window=4).mean()\n",
    "df_[\"2xma_4\"] = df_[\"ma_4\"].rolling(window=2).mean()\n",
    "df_[\"result\"] = df_[\"2xma_4\"].shift(-2)\n",
    "df_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ruled-sweden",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>2x12-MA</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-06-01</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-07-01</th>\n",
       "      <td>168127.041667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-08-01</th>\n",
       "      <td>168537.583333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-09-01</th>\n",
       "      <td>169125.541667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-10-01</th>\n",
       "      <td>170120.958333</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  2x12-MA\n",
       "ds                       \n",
       "1992-01-01            NaN\n",
       "1992-02-01            NaN\n",
       "1992-03-01            NaN\n",
       "1992-04-01            NaN\n",
       "1992-05-01            NaN\n",
       "1992-06-01            NaN\n",
       "1992-07-01  168127.041667\n",
       "1992-08-01  168537.583333\n",
       "1992-09-01  169125.541667\n",
       "1992-10-01  170120.958333"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Compute 2 X 12-MA\n",
    "window_size = 12\n",
    "ma_2x12 = (\n",
    "    df.rolling(window=window_size)\n",
    "    .mean()  # Apply the 12-MA without a centered window\n",
    "    # The average is computed at the end of the window\n",
    "    .rolling(window=2)\n",
    "    .mean()  # Apply the 2-MA without a centred window\n",
    "    # The average is computed at the end of the window\n",
    "    .shift(-window_size // 2)  # Shift is required to align the 2x4-MA to what a\n",
    "    # centered window would have produced\n",
    "    # Integer division is used as shift() requires an int\n",
    ")\n",
    "\n",
    "ma_2x12.rename(columns={\"y\": \"2x12-MA\"}, inplace=True)  # Rename the column\n",
    "\n",
    "ma_2x12.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "extreme-democrat",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the result\n",
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "\n",
    "df.plot(ax=ax, marker=\".\")\n",
    "ma_2x12.plot(ax=ax, color=\"r\", alpha=0.75)\n",
    "\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_title(\"Retail Sales with moving average\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "considered-mixture",
   "metadata": {},
   "source": [
    "We can see that using a 2x12-MA smooths out the yearly seasonality and we observe a trend line!"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fsml",
   "language": "python",
   "name": "fsml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
